An Introduction to Schur Polynomials

Abstract

Notes from a course at the ATM Workshop on Schubert Varieties, held at The Institute of Mathematical Sciences, Chennai, in November 2017. Various expansions of Schur functions, the Lindström-Gessel-Viennot lemma, semistandard Young tableaux, Schensted's insertion algorithm, the plactic monoid, the RSK correspondence, and the Littlewood-Richardson rule are discussed.

32 pages, 6 figures; author welcomes comments or corrections

Cited by in corpus (3)

• Tableau Correspondences and Representation Theory
• A Timed Version of the Plactic Monoid
• Schur Polynomials through Lindström Gessel Viennot Lemma